Existence et unicité de la solution positive de l'équation TFW sans répulsion électronique

Jean-François Léon

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1987)

  • Volume: 21, Issue: 4, page 641-654
  • ISSN: 0764-583X

How to cite

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Léon, Jean-François. "Existence et unicité de la solution positive de l'équation TFW sans répulsion électronique." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 21.4 (1987): 641-654. <http://eudml.org/doc/193518>.

@article{Léon1987,
author = {Léon, Jean-François},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {existence; unicity; quasilinear; Thomas-Fermi-von Weisäcker model; asymptotic behaviour},
language = {fre},
number = {4},
pages = {641-654},
publisher = {Dunod},
title = {Existence et unicité de la solution positive de l'équation TFW sans répulsion électronique},
url = {http://eudml.org/doc/193518},
volume = {21},
year = {1987},
}

TY - JOUR
AU - Léon, Jean-François
TI - Existence et unicité de la solution positive de l'équation TFW sans répulsion électronique
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1987
PB - Dunod
VL - 21
IS - 4
SP - 641
EP - 654
LA - fre
KW - existence; unicity; quasilinear; Thomas-Fermi-von Weisäcker model; asymptotic behaviour
UR - http://eudml.org/doc/193518
ER -

References

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  1. [1] AMBROSETTI-RABINOWITZ, Dual Variational methods in Critical point Theory and applications. J. of Funct. Anal. 14, 349, 381 (1973). Zbl0273.49063MR370183
  2. [2] BAUMGARTNER, The Thomas-Fermi-Theory as Result of a Strong-Coupling-Limit. Commun. Math. Phys. 47, 215-219 (1976). MR406156
  3. [3] BENGURIA-BREZIS-LIEB, The TFW theory of atoms and molecules. Commun. in Math. Phys. 79, 167, 180 (1981). Zbl0478.49035MR612246
  4. [4] BERESTICKY-LIONS, Non linear scalar field equation part I, II. Arch. for Rat. Mec. and Anal. 82, n° 4, 313, 345 et 347, 375 (1983). Zbl0533.35029
  5. [5] LANDAU and LIFCHITZ, Mécanique Quantique ed. Mir (1971, Moscou). Zbl0148.43806
  6. [6] LIEB, Thomas-Fermi and related theories of atoms and molecules. Rev. of Mod. Phys. 53, n° 4, p.1 October 1981. Zbl1114.81336MR629207
  7. [7] LIEB, Analysis of TFW equation for an infinite atom without electron repulsion. Comm. Math. Phys. 85, p. 15 (1982). Zbl0514.35074MR667764
  8. [8] P. L. LIONS, Some remarks on Hartree equation. Nonlinear Anal. T.M.A. 5 (1981) 1245-1256. Zbl0472.35074MR636734

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